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                [HEOI2015]公约数数列                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：256MB</p>			</div>
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                                <h3>题目描述</h3><p><p>设计一个数据结构. 给定一个正整数数列 a_0, a_1, ..., a_{n - 1}，你需要支持以下两种操作：</p>
<div>1. MODIFY id x: 将 a_{id} 修改为 x.</div>
<div>2. QUERY x: 求最小的整数 p (0 &lt;= p &lt; n)，使得 gcd(a_0, a_1, ..., a_p) * XOR(a_0, a_1, ..., a_p) = x. 其中 XOR(a_0, a_1, ..., a_p) 代表 a_0, a_1, ..., a_p 的异或和，gcd表示最大公约数。</div></p><hr/><h3>输入格式</h3><p><p>&nbsp;输入数据的第一行包含一个正整数 n.</p>
<div>接下来一行包含 n 个正整数 a_0, a_1, ..., a_{n - 1}.</div>
<div>之后一行包含一个正整数 q，表示询问的个数。</div>
<div>之后 q 行，每行包含一个询问。格式如题目中所述。</div></p><hr/><h3>输出格式</h3><p><p>对于每个 QUERY 询问，在单独的一行中输出结果。如果不存在这样的 p，输出 no.</p></p><hr/><h3>样例输入</h3><pre>10
1353600 5821200 10752000 1670400 3729600 6844320 12544000 117600 59400 640
10
MODIFY 7 20321280
QUERY 162343680
QUERY 1832232960000
MODIFY 0 92160
QUERY 1234567
QUERY 3989856000
QUERY 833018560
MODIFY 3 8600
MODIFY 5 5306112
QUERY 148900352</pre><hr/><h3>样例输出</h3><pre>6
0
no
2
8
8</pre><hr/><h3>提示</h3><p><p>&nbsp;对于 100% 的数据，n &lt;= 100000，q &lt;= 10000，a_i &lt;= 10^9 (0 &lt;= i &lt; n)，QUERY x 中的 x &lt;= 10^18，MODIFY id x 中的 0 &lt;= id &lt; n，1 &lt;= x &lt;= 10^9.</p>
<div></div></p><hr/><h3>题目来源</h3><p>没有写明来源</p>
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